Author

Armin Schikorra

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

Global existence of the $s$-Schr\"odinger maps in $n \geq 5$

We study the $s$-Schr\"odinger map equation \[ \begin{cases} \partial_t u = -u \wedge (-\Delta)^s u \quad \text{on } \mathbb{R}^n \times \mathbb{R}\\ u: \mathbb{R}^n \times \mathbb{R} \to \mathbb{S}^2\\ u(x,0) = u_0. \end{cases} \] For $s \in (1/2,1)$ and $n \geq 5$ we prove that for small initial data $u_0$ in the cri...

Ahmed Dughayshim, Armin Schikorra · 0 citations

Preprint Aug 2026

Non-Regularizing properties of $n$-Laplace systems with antisymmetric potentials in critical Lebesgue spaces

For every $n\geq 3$ we construct a bounded discontinuous map $u\in W^{1,n}(\mathbb{B}^n,\mathbb{R}^{n+2})$ solving an $n$-Laplace system with an antisymmetric potential $\Omega\in L^n$. This shows that a recent regularity result on $n$-Laplace systems with antisymmetric potentials in Lorentz spaces by the authors is sh...

Dorian Martino, Armin Schikorra · 3 citations · ⚡1